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A '''sexvigintillion''' or '''viginti-sextillion'''<ref>https://sites.google.com/site/largenumbers/home/appendix/a/numbers</ref> is equal to \(10^{81}\) in the [[short scale]], or \(10^{156}\) in the [[long scale]].<ref>[http://www.unc.edu/~rowlett/units/large.html]</ref>
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A '''sexvigintillion''' or '''viginti-sextillion'''<ref>https://sites.google.com/site/largenumbers/home/appendix/a/numbers</ref> is equal to \(10^{81}\) in the [[short scale]], or \(10^{156}\) in the [[long scale]].<ref>[http://www.unc.edu/~rowlett/units/large.html]</ref> It is 82 digits long in short scale, and 157 digits long in long scale.
   
 
In the long scale, \(10^{81}\) is called '''tredecilliard''', which is commonly used in France and Germany.
 
In the long scale, \(10^{81}\) is called '''tredecilliard''', which is commonly used in France and Germany.
   
 
This number is also called '''icosiheptillion''' in Russ Rowlett's Greek-based naming system of [[zillion]]s.<ref>[http://www.unc.edu/~rowlett/units/large.html Names for Large Numbers]</ref>
 
This number is also called '''icosiheptillion''' in Russ Rowlett's Greek-based naming system of [[zillion]]s.<ref>[http://www.unc.edu/~rowlett/units/large.html Names for Large Numbers]</ref>
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== Decimal ==
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For short scale:
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{{digits|1{{50 zeros}}{{10 zeros}}{{10 zeros}}{{10 zeros}}0}}
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For long scale:
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{{digits|1{{100 zeros}}{{50 zeros}}000000}}
   
 
== Approximations ==
 
== Approximations ==
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<references/>
 
<references/>
 
== See also ==
 
== See also ==
{{Illion}}[[Category:Numbers]]
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{{Illion}}
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[[Category:Numbers]]
 
[[Category:Illion]]
 
[[Category:Illion]]
 
[[Category:Class 2]]
 
[[Category:Class 2]]

Latest revision as of 06:24, March 25, 2020

A sexvigintillion or viginti-sextillion[1] is equal to \(10^{81}\) in the short scale, or \(10^{156}\) in the long scale.[2] It is 82 digits long in short scale, and 157 digits long in long scale.

In the long scale, \(10^{81}\) is called tredecilliard, which is commonly used in France and Germany.

This number is also called icosiheptillion in Russ Rowlett's Greek-based naming system of zillions.[3]

Decimal Edit

For short scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000

For long scale:

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Approximations Edit

Notation Lower bound Upper bound
Scientific notation \(1\times10^{81}\)
Arrow notation \(10\uparrow81\)
Steinhaus-Moser Notation 48[3] 49[3]
Copy notation 9[81] 10[41]
Taro's multivariable Ackermann function A(3,266) A(3,267)
Pound-Star Notation #*(9,5,0,5,5,0,2)*7 #*(10,5,0,5,5,0,2)*7
BEAF {10,81}
Bashicu matrix system (0)(0)(0)(0)(0)[339] (0)(0)(0)(0)(0)[340]
Hyperfactorial array notation 59! 60!
Fast-growing hierarchy \(f_2(261)\) \(f_2(262)\)
Hardy hierarchy \(H_{\omega^2}(261)\) \(H_{\omega^2}(262)\)
Slow-growing hierarchy \(g_{\omega^{\omega8+1}}(10)\)

List of prefixed numbers derived from vigintillion Edit

Name Short scale Long scale
unvigintillion 1066 10126
duovigintillion 1069 10132
trevigintillion 1072 10138
quattuorvigintillion 1075 10144
quinvigintillion 1078 10150
sexvigintillion 1081 10156
septenvigintillion 1084 10162
octovigintillion 1087 10168
novemvigintillion 1090 10174

Sources Edit

  1. https://sites.google.com/site/largenumbers/home/appendix/a/numbers
  2. [1]
  3. Names for Large Numbers

See also Edit

Main article: -illion
1–9: million · billion · trillion · quadr · quint · sext · sept · oct · non
10–19: decillion · undec · duodec · tredec · quattuordec · quindec · sexdec · septendec · octodec · novemdec
20–29: vigintillion · unvigint · duovigint · trevigint · quattuorvigint · quinvigint · sexvigint · septenvigint · octovigint · novemvigint
30–39: trigintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
40–49: quadragintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
50–59: quinquagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
60–69: sexagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
70–79: septuagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
80–89: octogintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
90–99: nonagintillion (un- · duo- · tre- · quattuor- · quin- · sex- · septen- · octo- · novem-)
100–900: centillion · unviginticent · unsexagintacent · ducent · trecent · duotrigintatrecent · quadringent · quingent · sescent · septuagintisescent · septingent · octingent · nongent
1,000–1024: millillion · dumill · trimill · quadrimill · quinmill · sexmill · septimill · octimill · nonimill · myr · centimill · micr · nan · pic · femt · att · zept · yoct
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